Answer:
the value of a, if points A and D belong to the x−axis and m∠BAD=60 degrees is 2/√3
Explanation:
Trapezoid ABCD with height 2 unit contain Points A and D which may be A(-1,0) and D(5.0)
Vertex of parabola is the point where parabola crosses its axis
Let suppose A and D are two points then draw altitude on them CE where C is on AD
As height of altitude has been given that is 2 then
total angle = 180 degrees
m∠BAD=60 degrees
m∠CEA =180 - 60 -90
= 30
then the value for AE = 2/√3.
y=a(x+1)(x−5).
where 2/√3 is right of -1 and 2 unit above x-axis